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A Spectral Identifiability Threshold for Dissipative Rate Recovery from Truncated Liouvillian Spectra

arXiv · AI, language, vision and robotics · article · Aug 29, 2026 · UTC

Open quantum systems lose energy and phase coherence through different dissipative processes, but these processes can produce overlapping dynamical signatures. The Liouvillian spectrum summarizes how such a system relaxes, yet it is not obvious how much of that spectrum is needed to distinguish the underlying dissipation rates. We study this question for amplitude damping and dephasing in a six-qubit Lindblad model whose spectrum can be derived analytically. We retain only the slowest non-steady spectral modes and ask how many are required before each dissipative rate becomes recoverable. We s

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